11010211079040 has 640 divisors, whose sum is σ = 40151791199520. Its totient is φ = 2874155581440.

The previous prime is 11010211079039. The next prime is 11010211079237. The reversal of 11010211079040 is 4097011201011.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11010211079040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11010211078995 and 11010211079013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1283087550 + ... + 1283096130.

Almost surely, 2^{11010211079040} is an apocalyptic number.

11010211079040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010211079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20075895599760).

11010211079040 is an abundant number, since it is smaller than the sum of its proper divisors (29141580120480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11010211079040 is an equidigital number, since it uses as much as digits as its factorization.

11010211079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 11010211079040 in words is "eleven trillion, ten billion, two hundred eleven million, seventy-nine thousand, forty".